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A body is projected from the ground with...

A body is projected from the ground with a velocity `v = (3hati +10 hatj)ms^(-1)`. The maximum height attained and the range of the body respectively are (given `g = 10 ms^(-2))`

A

5 m and 6 m

B

3 m and 10 m

C

6m and 5 m

D

3 m and 5 m

Text Solution

Verified by Experts

The correct Answer is:
A
`v = 3hati + 10 hatj`
`v_(x) = 3, v_(y) = 10`
`H = v_(y)^(2)/(2g) = 100/20 = 5m`
`R = v_(x) xx T = v_(x) xx (2v_(g))/g = 3 xx (2 xx 10)/10 = 6 m`
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